Clap has an entry in their cookbook for a REPL:

• Derive-API: https://docs.rs/clap/latest/clap/_cookbook/repl_derive/index.html
• Builder-API: https://docs.rs/clap/latest/clap/_cookbook/repl/index.html

Of course, this works best for simple stuff, where you just have individual commands to parse.

For a Python-style REPL with a full-fledged language attached, I would not use that approach.
There's probably some REPL languages implemented in Rust already out there, where you can look at their approach.